In the following equation, determine whether the given numbers are solutions of the given equations or not:

$x^2-\sqrt{2}x-4=0; -\sqrt{2}, 2\sqrt{2}$

Form a quadratic equation whose roots are $\frac{3}{2}$ and $\frac{4}{5}$.

Find the roots of the following quadratic equations by factorisation:

$6x^2+x-2=0$

Find the roots of the following quadratic equations by factorisation:

$6x^2+7x-10=0$

Find the roots of the following quadratic equations by factorisation:

$8x^2-22x-21=0$